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📐 Mathematics  ·  Matrices  ·  JEE

The inverse of a matrix A is given by A⁻¹ = (adj A) divided by:

Answer: the value |A|.

  • A the value |A|
  • B the matrix A
  • C the transpose Aᵀ
  • D the number 1

Correct answer: A. the value |A|

Explanation: A⁻¹ = adj(A)/|A|, valid when |A| ≠ 0.

Matrix A (3 rows x 3 columns)a11a12a13a21a22a23a31a32a33column 1column 2column 3row 1row 2row 3

Element aij of matrix A sits at the intersection of row i and column j.

Concept context

Matrix operations, determinants, inverses, and solving linear systems

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